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Q:

# How many vertices does a pyramid have?

A:

A triangular pyramid has four vertices. A square pyramid has five vertices. Other pyramids have a greater number of vertices depending on the shape of the base.

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In geometry, a vertex is defined as an angular point of a polygon or a polyhedron. In two dimensions, this means a point where two lines meet, such as the points of a triangle. In three dimension, it means the point where three lines meet, such as the corner of a cube. While the most common pyramids have triangular or square bases, a pyramid can be constructed using any convex, simple polygon as a base, such as pentagons or hexagons. In all cases, the total number of vertices is equal to the number of vertices, or corners, the base has plus one more for the point at the top where all the faces meet.

## Related Questions

• A:

A cylinder has zero vertices. A cylinder does not have a vertex because there is no point where two lines meet. This is because a cylinder, unlike a prism, has circular faces; there is no corner where two straight lines meet.

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• A:

A rhombus has four vertices. The point of intersection of two adjacent sides of a rhombus is called the vertex of the rhombus. A rhombus is a quadrilateral with all four sides equal.

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• A:

A pentagonal prism has 10 vertices because there are two five-sided shapes at both ends of a prism. A pentagonal prism has 15 edges and seven faces. Five faces are between the pentagons on each end.